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4042821330 = 2325192364223
BaseRepresentation
bin1111000011111000…
…1000111011010010
3101102202021121021100
43300332020323102
531234430240310
61505055405230
7202120262052
oct36076107322
911382247240
104042821330
111795081559
12949b23816
134c5765492
142a4cdd562
15189dd2ec0
hexf0f88ed2

4042821330 has 48 divisors (see below), whose sum is σ = 11064568320. Its totient is φ = 1021343904.

The previous prime is 4042821329. The next prime is 4042821347. The reversal of 4042821330 is 331282404.

It is a super-3 number, since 3×40428213303 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042821294 and 4042821303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180402 + ... + 1183821.

It is an arithmetic number, because the mean of its divisors is an integer number (230511840).

Almost surely, 24042821330 is an apocalyptic number.

4042821330 is an abundant number, since it is smaller than the sum of its proper divisors (7021746990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4042821330 is a wasteful number, since it uses less digits than its factorization.

4042821330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364255 (or 2364252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4042821330 is about 63583.1843335956. The cubic root of 4042821330 is about 1593.0455097221.

The spelling of 4042821330 in words is "four billion, forty-two million, eight hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2364223 4728446 7092669 11821115 14185338 21278007 23642230 35463345 42556014 44920237 70926690 89840474 106390035 134760711 212780070 224601185 269521422 404282133 449202370 673803555 808564266 1347607110 2021410665 4042821330